Suppose Y1,..., Yn are independent random variables with probability mass function f(y) = p" (1 – p)'v, y = 0,1. Here, p E (0, 1), but unknown. (a) Name the distribution of Y. (b) Write down the likelihood function of a random sample {yı, ... , Yn}.

MATLAB: An Introduction with Applications
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Suppose Y1,..., Yn are independent random variables with
probability mass function
f(y) = p"(1 – p)», y = 0,1.
Here, p E (0, 1), but unknown.
(a) Name the distribution of Y.
(b) Write down the likelihood function of a random sample {y1,..., Yn}.
Transcribed Image Text:Suppose Y1,..., Yn are independent random variables with probability mass function f(y) = p"(1 – p)», y = 0,1. Here, p E (0, 1), but unknown. (a) Name the distribution of Y. (b) Write down the likelihood function of a random sample {y1,..., Yn}.
(c) Identify the g and h function and find a sufficient statistic for p. And, name
the theorem you used.
Transcribed Image Text:(c) Identify the g and h function and find a sufficient statistic for p. And, name the theorem you used.
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